ATAR Notes: Forum
VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Specialist Mathematics => Topic started by: joechan521 on November 02, 2007, 09:06:39 pm
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which one do you reckon is the most challenging?
?
?
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kilbaha
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i found itutes questions are non-relevant
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TSSM is testing but okay except for this one question:
Question 8
Use the change of variable u=sin(3x) to evaluate the integral of dx / cos(3x). Express your answer in the form a ln f(x) + C
This isn't supposed to be an easy question is it? It's still got me screwed :P
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I tried the iTute exams and many of the questions I'd never covered before. Even my teacher had trouble with it
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TSSM is testing but okay except for this one question:
Question 8
Use the change of variable u=sin(3x) to evaluate the integral of dx / cos(3x). Express your answer in the form a ln f(x) + C
This isn't supposed to be an easy question is it? It's still got me screwed :P
Although I could quote that integral from memory (I don't encourage memorising..), you can solve it by noticing that you can transform it into an integral in the form 1/(1 - u^2) which can be solved by partial fractions.
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tsfx ones are long and tough at the same time...not much room for mistakes..
they tend to drag out questions way too far and end up screwing over people who haventt made it past part c)
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TSSM is testing but okay except for this one question:
Question 8
Use the change of variable u=sin(3x) to evaluate the integral of dx / cos(3x). Express your answer in the form a ln f(x) + C
This isn't supposed to be an easy question is it? It's still got me screwed :P
Although I could quote that integral from memory (I don't encourage memorising..), you can solve it by noticing that you can transform it into an integral in the form 1/(1 - u^2) which can be solved by partial fractions.
that is interesting...but yeah i arrived at that stage as well and wondered wat the....
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TSSM is testing but okay except for this one question:
Question 8
Use the change of variable u=sin(3x) to evaluate the integral of dx / cos(3x). Express your answer in the form a ln f(x) + C
This isn't supposed to be an easy question is it? It's still got me screwed :P
Although I could quote that integral from memory (I don't encourage memorising..), you can solve it by noticing that you can transform it into an integral in the form 1/(1 - u^2) which can be solved by partial fractions.
1 / cos(3x) need to be changed to cos(3x)/cos^2(3x)
and get to
the form 3/(1 - u^2)
then u can solve it easily.
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Yep. That was my suggestion. :)
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those are fun anti-s to try:
1/(1+x^3)
1/sqrt(1+x^2)
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First is partial fractions.
Second is inverse sinh i.e. log[sqrt[1+x^2]+x] if i recall correctly
I have a pretty fun one in the univ maths section, be sure to check out :)
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First is partial fractions.
Second is inverse sinh i.e. log[sqrt[1+x^2]+x] if i recall correctly
I have a pretty fun one in the univ maths section, be sure to check out :)
i dont think 2nd is inverse sin? how come i got differently
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You misinterpreted me. I wrote inverse sinh. That's inverse hyperbolic sine
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You misinterpreted me. I wrote inverse sinh. That's inverse hyperbolic sine
right.... no idea what it is lol... i dont expect thats specialist knowledge?
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Nope. Sorry, I get carried away sometimes lol. A spesh way would be to substitute x = tan u, then it reduces to the problem of integrating sec
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yeah thats what i thought
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Remember kids.
Cosh^2(x) - Sinh^2(x) = 1 ^_^
By far the hardest paper I've done was Kilbaha. I got 30/40 for the first paper, and a horrible mark for the second...
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Remember kids.
Cosh^2(x) - Sinh^2(x) = 1 ^_^
By far the hardest paper I've done was Kilbaha. I got 30/40 for the first paper, and a horrible mark for the second...
whats cosh and sinh.??.. i only knew sec^2-tan^2=1
and btw what scholarship you getting from 98 enter?
is it the melb new gen course of 2500?
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those are fun anti-s to try:
1/(1+x^3)
1/sqrt(1+x^2)
What do you do once u get the first one in the form 1/((x+1)(x^2 -x +1))
How do u divide that into partial fractions?
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those are fun anti-s to try:
1/(1+x^3)
1/sqrt(1+x^2)
What do you do once u get the first one in the form 1/((x+1)(x^2 -x +1))
How do u divide that into partial fractions?
a/[x+1] + [bx+c]/[x^2-x+1]
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whats cosh and sinh.??.. i only knew sec^2-tan^2=1
http://en.wikipedia.org/wiki/Hyperbolic_function
http://en.wikipedia.org/wiki/Inverse_hyperbolic_function
:) Check it.
and btw what scholarship you getting from 98 enter?
is it the melb new gen course of 2500?
What the hell is that supposed to mean ?
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and btw what scholarship you getting from 98 enter?
is it the melb new gen course of 2500?
What the hell is that supposed to mean ?
"What scholarship do you get from getting 98 as your ENTER?
Is it the one at the University of Melbourne that gets you $2500?"
http://www.services.unimelb.edu.au/scholarships/ugrad/future/newgeneration.html
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Remember kids.
whats cosh and sinh.??.. i only knew sec^2-tan^2=1
http://en.wikipedia.org/wiki/Hyperbolic_function
http://en.wikipedia.org/wiki/Inverse_hyperbolic_function
:) Check it.
and btw what scholarship you getting from 98 enter?
is it the melb new gen course of 2500?
What the hell is that supposed to mean ?[/quote]
cos freitag's signiture said he need 98 to get a scholarship
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Thanks joechan lol i feel stupid i forgot about bx+c i was trying to do it with b/(x^2...)
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Don't worry about cosh and sinh...
The scholarship I need is for Engineering at Monash University, which requires a 98. :)
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ah the new gen awards. I want one too. :p
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ah the new gen awards. I want one too. :p
Isn't it only for the year 12's this year?
"These awards will only be offered in 2008 and cannot be deferred"
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Don't worry about cosh and sinh...
The scholarship I need is for Engineering at Monash University, which requires a 98. :)
really? is that the 6000 per year engineering faculty scholarship??
do you know what business & economics scholarship at monash need?
is it also 98?
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ah the new gen awards. I want one too. :p
Isn't it only for the year 12's this year?
"These awards will only be offered in 2008 and cannot be deferred"
ROFL. I feel sorry for prav, he's been waiting for it since the beginning of time.
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ah the new gen awards. I want one too. :p
Isn't it only for the year 12's this year?
"These awards will only be offered in 2008 and cannot be deferred"
ROFL. I feel sorry for prav, he's been waiting for it since the beginning of time.
... oh no. I shouldn't have said anything.
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Don't worry about cosh and sinh...
The scholarship I need is for Engineering at Monash University, which requires a 98. :)
Can you still get that scholarship if you do a double degree or do you need to do just straight engineering?
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Don't worry about cosh and sinh...
The scholarship I need is for Engineering at Monash University, which requires a 98. :)
really? is that the 6000 per year engineering faculty scholarship??
do you know what business & economics scholarship at monash need?
is it also 98?
Yes, it is the $6000 Engineering scholarship.
I think the ENTER required for the double degree with commerce is 86 or so (At Gippsland campus). The ENTER I need for Civil and Environmental is 72.
Enwiabe, you can get it for the double, i'm sure.
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Good cuz I wanna do Aerospace Engineering/Science (which is 96.7 and very gettable for me) and the only thing keeping me working this year is that if I get a high ENTER I get the scholarship :P Otherwise I'd just stop bothering with chem which is soporifically boring.
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NOOOOO, no award for 2009ers. NOO STFU UNIMELB (for this :p)
:p
meh.